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Finding the Fourth Proportional to 3,540.69, 4,886.16 and 1,968.75

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Solution

The fourth proportional to 3,540.69, 4,886.16 and 1,968.75 is: 2,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.69 : 4,886.16 = 1,968.75 : x
  2. Step 2: Convert to fraction form
    3,540.69/4,886.16 = 1,968.75/x
  3. Step 3: Cross multiply
    3,540.69x = 4,886.16 × 1,968.75
  4. Step 4: Simplify right side
    3,540.69x = 9,619,620.12
  5. Step 5: Solve for x
    x = 9,619,620.12/3,540.69
  6. Step 6: Final answer
    x = 2,716.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.